Acquisitions and Divestitures (Schedule of Pro Forma Financial Information) (Details) - USD ($) $ / shares in Units, $ in Millions	3 Months Ended								12 Months Ended
	Jan. 02, 2016	Oct. 03, 2015	Jul. 04, 2015	Apr. 04, 2015	Jan. 03, 2015	Sep. 27, 2014	Jun. 28, 2014	Mar. 29, 2014	Jan. 02, 2016	Jan. 03, 2015	Dec. 28, 2013
Business Acquisition [Line Items]
Basic earnings per share as reported (in dollars per share)	$ (0.43)	$ 1.42	$ 1.40	$ 0.81	$ (2.61)	$ 1.06	$ 1.24	$ 0.97	$ 3.21	$ 0.69	$ 2.66
Diluted earnings per share as reported (in dollars per share)	$ (0.43)	$ 1.41	$ 1.39	$ 0.81	$ (2.61)	$ 1.05	$ 1.24	$ 0.96	$ 3.18	$ 0.69	$ 2.64
Power Transmission Solutions
Business Acquisition [Line Items]
Pro forma net sales									$ 3,558.3	$ 3,864.4
Pro forma net income attributable to the Company									$ 174.8	$ 63.1
Basic earnings per share as reported (in dollars per share)									$ 3.21	$ 0.69
Pro forma basic earnings per share (in dollars per share)									3.91	1.40
Diluted earnings per share as reported (in dollars per share)									3.18	0.69
Pro forma diluted earnings per share (in dollars per share)									$ 3.88	$ 1.39
Benshaw, Hy-Bon, Cemp and RAM [Member]
Business Acquisition [Line Items]
Pro forma net sales										$ 3,291.2	$ 3,240.4
Pro forma net income attributable to the Company										$ 28.8	$ 123.8
Basic earnings per share as reported (in dollars per share)										$ 0.69	$ 2.66
Pro forma basic earnings per share (in dollars per share)										0.64	2.75
Diluted earnings per share as reported (in dollars per share)										0.69	2.64
Pro forma diluted earnings per share (in dollars per share)										$ 0.64	$ 2.73